Described as one aspect of the invention are polyester compositions containing: (I) at least one polyester which comprises: (a) a dicarboxylic acid component comprising: (i) 70 to 100 mole % of terephthalic acid residues; (ii) 0 to 30 mole % of aromatic dicarboxylic acid residues having up to 20 carbon atoms; and (iii) 0 to 10 mole % of aliphatic dicarboxylic acid residues having up to 16 carbon atoms; and (b) a glycol component comprising: (i) 1 to 99 mole % of 2,2,4,4-tetramethyl-1,3 -cyclobutanediol residues; and (ii) 1 to 99 mole % of cyclohexanedimethanol residues; and (II) at least one thermal stabilizer chosen from at least one of alkyl phosphate esters, aryl phosphate esters, mixed alkyl aryl phosphate esters, reaction products thereof, and mixtures thereof; wherein the total mole % of the dicarboxylic acid component is 100 mole %, and wherein the total mole % of the glycol component is 100 mole %.